GCD of 723, 332, 980, 748 Calculator

Given Input numbers are 723, 332, 980, 748

In the factoring method, we have to find the divisors of all numbers

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (723, 332, 980, 748) = 1.

Given numbers are 723, 332, 980, 748

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 332 are 2 x 2 x 83

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 748 are 2 x 2 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 723, 332, 980, 748

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(723, 332) = 240036

GCD(723, 332) = ( 723 x 332 ) / 240036

= 723 / 332

= 723

Step2:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 723, 332, 980, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 438, 932, 923
• GCD of 753, 307, 278, 394
• GCD of 319, 229, 366, 429
• GCD of 831, 222, 363, 530
• GCD of 762, 697, 432, 672

Given numbers are 723, 332, 980, 748
The greatest common divisor of numbers 723, 332, 980, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 332, 980, 748 is 1.

1. What is the GCD of 723, 332, 980, 748?

GCD of given numbers 723, 332, 980, 748 is 1

2. How to calculate the greatest common divisor of 723, 332, 980, 748?

We can find the highest common divisor of 723, 332, 980, 748 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 723, 332, 980, 748 i.e 1.

3. How can I use the GCD of 723, 332, 980, 748Calculator?

Out the numbers 723, 332, 980, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.